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Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

Number 57
Author Jose Ferran Valdez-Lorenzo
Project B09
Year 2009

We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.

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